Solve for x: 4x - 5 = 11.

To solve the equation ( 4x - 5 = 11 ), the goal is to isolate ( x ). Start by adding 5 to both sides of the equation to eliminate the -5 on the left side. This gives you:

[

4x - 5 + 5 = 11 + 5

]

This simplifies to:

[

4x = 16

]

Next, to solve for ( x ), divide both sides of the equation by 4:

[

x = \frac{16}{4}

]

This calculation results in:

[

x = 4

]

Thus, the correct answer is that ( x = 4 ). This confirms that when you substitute ( 4 ) back into the original equation ( 4x - 5 = 11 ), it holds true:

[

4(4) - 5 = 16 - 5 = 11

]

This demonstrates that the solution satisfies the initial equation.